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Finding the Fourth Proportional to 334.31, 461.03 and 241.65

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Solution

The fourth proportional to 334.31, 461.03 and 241.65 is: 333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.31 : 461.03 = 241.65 : x
  2. Step 2: Convert to fraction form
    334.31/461.03 = 241.65/x
  3. Step 3: Cross multiply
    334.31x = 461.03 × 241.65
  4. Step 4: Simplify right side
    334.31x = 111,406.69
  5. Step 5: Solve for x
    x = 111,406.69/334.31
  6. Step 6: Final answer
    x = 333.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.